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Communication Dans Un Congrès Année : 2003

Robust pole-clustering for descriptor systems, a strict LMI characterization

Benoît Marx
Damien Koenig
Didier Georges

Résumé

This paper tackles the problem of the characterization of robust pole-clustering for descriptor systems using linear matrix inequalities (LMI). It states a necessary and sufficient condition for a descriptor system to be impulse free and to have its finite poles in a specified convex region of the complex plane. A sufficient condition to guarantee this result in the presence of norm-bounded uncertainties is established. The results are expressed in terms of strict LMIs, thus they are numerically tractable with LMI optimization tools. Numerical examples are given.

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Automatique
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Dates et versions

hal-00232849 , version 1 (07-03-2023)

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Benoît Marx, Damien Koenig, Didier Georges. Robust pole-clustering for descriptor systems, a strict LMI characterization. European Control Conference, 2003, Cambridge, United Kingdom. ⟨10.23919/ECC.2003.7085109⟩. ⟨hal-00232849⟩

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